I have recently come across this sentence: "While you are staying with us, we will do our best to ensure that your holiday runs smoothly and you do not get bored".Is it grammatically correct to say "will run" and "won't" instead of "runs" and "do not"?

Using 'runs' in the present tense re-enforces the duration of their responsibility towards you: "While you are staying with us."

This means that if you slip on the portico once you've handed back your key and paid the bill, the premises has no liability towards you.

Under the terms of their insurance you are no protected by them. If you get mugged on the way to the airport with a taxi the hotel summoned, that's just tough. Report it to the police, not the hotel/guest-house/premises.The same pertains until one has registered.

Whether you say "do not get bored" or "won't get bored" they are very unlikely to be found on Hotel signs in English speaking countries.

Not because of bad grammar, but because of advertising.

We wouldn't introduce a negative emotion, "bored", into our adverts.

We'd use a number of ways to say it "you'll enjoy your stay." "You'll have as much - or as little - excitement as you want." "You'll love what we have to offer", "You'll ask us what we can do to make your stay more pleasant".....etc. etc.

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